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Finding the Fourth Proportional to 3,651.48, 5,472.08 and 2,089.14

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Solution

The fourth proportional to 3,651.48, 5,472.08 and 2,089.14 is: 3,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.48 : 5,472.08 = 2,089.14 : x
  2. Step 2: Convert to fraction form
    3,651.48/5,472.08 = 2,089.14/x
  3. Step 3: Cross multiply
    3,651.48x = 5,472.08 × 2,089.14
  4. Step 4: Simplify right side
    3,651.48x = 11,431,941.21
  5. Step 5: Solve for x
    x = 11,431,941.21/3,651.48
  6. Step 6: Final answer
    x = 3,130.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.